92712942144 has 105 divisors (see below), whose sum is σ = 274895207257. Its totient is φ = 30897006336.

The previous prime is 92712942137. The next prime is 92712942149. The reversal of 92712942144 is 44124921729.

The square root of 92712942144 is 304488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 92362503744 + 350438400 = 303912^2 + 18720^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 92712942144.

It is not an unprimeable number, because it can be changed into a prime (92712942149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21921022 + ... + 21925250.

Almost surely, 2^92712942144 is an apocalyptic number.

92712942144 is the 304488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92712942144

92712942144 is an abundant number, since it is smaller than the sum of its proper divisors (182182265113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

92712942144 is an frugal number, since it uses more digits than its factorization.

92712942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 4234 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 92712942144 in words is "ninety-two billion, seven hundred twelve million, nine hundred forty-two thousand, one hundred forty-four".